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Finding the Fourth Proportional to 21,615.16, 32,411.47 and 10,205.17

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Solution

The fourth proportional to 21,615.16, 32,411.47 and 10,205.17 is: 15,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.16 : 32,411.47 = 10,205.17 : x
  2. Step 2: Convert to fraction form
    21,615.16/32,411.47 = 10,205.17/x
  3. Step 3: Cross multiply
    21,615.16x = 32,411.47 × 10,205.17
  4. Step 4: Simplify right side
    21,615.16x = 330,764,561.30
  5. Step 5: Solve for x
    x = 330,764,561.30/21,615.16
  6. Step 6: Final answer
    x = 15,302.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.